Does Fridg run off of inverter

[Sglynn55]

Your help with this inverter / fridge question is appreciated.

I have a 2016 SunStar N27. It has an inverter, but I can't tell what appliances will run off the inverter. I'd like to run the fridge off the inverter while driving. That way, driving will keep the batteries charged and I won't need propane on to keep the fridge running. I've tried it, but I can't tell if it works. When I push the various settings on the inverter, it shows voltage is fine, but it shows zero (0) amps, so like nothing is running off of it. I do think the TV will run off of it, but is that it? And I've noticed there is a CGFI plug in cargo that seems to be part of the inverter circuit. Its fine.

Does anyone know what appliances will run thru the inverter?
Does anyone know if the fridge will run thru inverter while driving?
Does anyone know how to verify it is working?

PS I've read the manual, but ??? Can't tell.

thanks